The idea being, when you run a perpendicular line to the base, from the right-angle in a right-triangle, like in this case, what you end up with is, three similar triangles, a Large triangle containing the two smaller ones, a Medium triangle and a Small one, check the picture below.
since all three are similar, we can use the proportions on the corresponding sides, as you see in the picture, the base of the triangle then will just be x + y.
divide total ounces by the amount each cup can hold
678 / 8 = 84.75
so they can fill 84 cups
Answer:
5·7
Step-by-step explanation:
From your knowledge of multiplication tables, you know that ...
5×7 = 35
Both 5 and 7 are prime numbers, so that is the prime factorization.
Answer:
Step-by-step explanation:
x²-8x-20
=x²-10x+2x-20
=x(x-10)+2(x-10)
=(x-10)(x+2)
second factor is x+2
Answer:
-10
Step-by-step explanation: